document.write( "Question 22145: 9+11a=-5a+21 \n" ); document.write( "
Algebra.Com's Answer #10686 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: a=0.75.
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  • Graphical form: Equation \"9%2B11a=-5a%2B21\" was fully solved.
  • Text form: 9+11a=-5a+21 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+9%2B11a=-5a%2B21+%29\"
    For tutors: simplify_cartoon( 9+11a=-5a+21 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+9+%29%2B11%2Aa=-5a%2B21\".
Moved \"9\" to the right of expression
It becomes \"11%2Aa%2Bhighlight_green%28+9+%29=-5a%2B21\".
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Look at \"11%2Aa%2B9=highlight_red%28+-5%2Aa%2B21+%29\".
Moved these terms to the left \"highlight_green%28+5%2Aa+%29\",\"highlight_green%28+-21+%29\"
It becomes \"11%2Aa%2B9%2Bhighlight_green%28+5%2Aa+%29-highlight_green%28+21+%29=0\".
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Look at \"11%2Aa%2Bhighlight_red%28+9+%29%2B5%2Aa-highlight_red%28+21+%29=0\".
Added fractions or integers together
It becomes \"11%2Aa%2Bhighlight_green%28+-12+%29%2B5%2Aa=0\".
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Look at \"11%2Aa%2Bhighlight_red%28+-12+%29%2B5%2Aa=0\".
Moved \"-12\" to the right of expression
It becomes \"11%2Aa%2B5%2Aa%2Bhighlight_green%28+-12+%29=0\".
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Look at \"11%2Aa%2B5%2Aa%2Bhighlight_red%28+-12+%29=0\".
Removed extra sign in front of \"-12\"
It becomes \"11%2Aa%2B5%2Aa-highlight_green%28+12+%29=0\".
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Look at \"highlight_red%28+11%2Aa+%29%2Bhighlight_red%28+5%2Aa+%29-12=0\".
Eliminated similar terms \"highlight_red%28+11%2Aa+%29\",\"highlight_red%28+5%2Aa+%29\" replacing them with \"highlight_green%28+%2811%2B5%29%2Aa+%29\"
It becomes \"highlight_green%28+%2811%2B5%29%2Aa+%29-12=0\".
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Look at \"%28highlight_red%28+11+%29%2Bhighlight_red%28+5+%29%29%2Aa-12=0\".
Added fractions or integers together
It becomes \"%28highlight_green%28+16+%29%29%2Aa-12=0\".
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Look at \"highlight_red%28+%28highlight_red%28+16+%29%29%2Aa+%29-12=0\".
Remove unneeded parentheses around factor \"highlight_red%28+16+%29\"
It becomes \"highlight_green%28+16+%29%2Aa-12=0\".
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Look at \"highlight_red%28+16%2Aa-12+%29=0\".
Solved linear equation \"highlight_red%28+16%2Aa-12=0+%29\" equivalent to 16*a-12 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: a=0.75.

Universal Simplifier and Solver

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Done!

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